Question: Show that each word problem is a valid argument. Use rules of inference to show steps and reasons in the proof.
Part 1: If the interest rates drop then the housing market will improve. Either the federal discount rate will drop or construction will decrease. Interest rates will drop and utility prices will go down.
Either construction increases or the housing market does not improve. Thus, the federal discount rate will drop.
Part 2: It is cold and not sunny today. We'll go for a run only if it is sunny. If we do not go for a run then we will go for a walk on the beach. We will watch a movie or we will not go for a walk on the beach. Therefore, we will watch a movie.
Can you show that each problem is a valid argument? You have to use rules of inference to show steps and reasons in the proof these arguments.